Elliptic curve isogeny class with LMFDB label 8640.cg (Cremona label 8640br)

• Label: 8640.cg
• Number of curves: $1$
• Conductor: $8640$
• CM: no
• Rank: $1$

Elliptic curves in class 8640.cg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8640.cg1	8640br1	\([0, 0, 0, -732, 7944]\)	\(-1568892672/78125\)	\(-2160000000\)	\([]\)	\(5376\)	\(0.55225\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8640.cg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8640.cg do not have complex multiplication.

Modular form 8640.2.a.cg